Question

What are the critical points of `f(x) =e^(e^x)`?

Answer 1

No critical points.

Explanation:

Critical points occur when the derivative of the function is zero or undefined.

In this case, `d/dx(e^(e^x))=e^x*e^(e^x)=e^(x+e^x)!=0 AA x in RR`

Hence there are no critical points. The graph of the function also verifies this.

graph{e^(e^x) [-10, 10, -5, 5]}